Dynamic analysis of a Leslie–Gower-type predator–prey system with the fear effect and ratio-dependent Holling III functional response
نویسندگان
چکیده
In this paper, we extend a Leslie–Gower-type predator–prey system with ratio-dependent Holling III functional response considering the cost of antipredator defence due to fear. We study impact fear effect on model, and find that many interesting dynamical properties model can occur when is present. Firstly, relationship between coefficient K positive equilibrium point introduced. Meanwhile, existence Turing instability, Hopf bifurcation, Turing–Hopf bifurcation are analyzed by some key parameters. Next, normal form for calculated. Finally, numerical simulations carried out corroborate our theoretical results.
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ژورنال
عنوان ژورنال: Nonlinear Analysis-Modelling and Control
سال: 2022
ISSN: ['1392-5113', '2335-8963']
DOI: https://doi.org/10.15388/namc.2022.27.27932